Authors
Abstract
In this research, second order level set method for simulation of grain burn-back analysis is presented and compared with the first order level set according to discretisation technique, accuracy , and CPU time. In this manner and at the first step, we describe total necessities of level set method that are grid generation, minimum distance function calculation, relative condition estimation, ballistic characteristics calculation, and obtaining results. Then, at the second step, we improve forth necessity of level set method by second order model. For validation of presented model, we consider many type of simple and complex grains and evaluate grain burn-back analysis. The obtained results indicate that second order model is more accurate than the first order model for simulation of complex grains. But, at the simple grains with more CPU time related to second order model, accuracy of two models are similar. A compromise between accuracy and CPU time suggest that one can use second order model for simulation of complex grains and first order model for simulation of simple grains.
Keywords
- Toker, K. A., Three Dimensional Retarding Walls and Flow in Their Vicinity, (PhD Thesis), Department of Mechanical Engineering, Middle East Technical University, Turkey, 2004.
- Davenas, A., Solid Rocket Propulsion Technology, Pergamon Press, New York, 1993.
- Puskulcu, G., Analysis of 3-D Grain Burnback of Solid Propellant Rocket Motors and Verification with Rocket Motor Tests, (M.Sc. Thesis), Department of Mechanical Engineering, Middle East Technical University, Turkey, 2004.
- Heidari, M. R. and Adami, A. H., "General Grain Analysis and Rapid Internal Ballistic Simulation for Solid Motor," Journal of Energetic Material, Vol. 5, No.10, 2010, pp. 59-72 (In Persian).
- Brackbill, J. U. and Ruppel, H. M., "A Method for Adoptively Zoned, Particle-In-Cell Calculations in Two Dimensions,"Computational Physics, 65, No. 2, 1986, pp. 314-343.
- Hirt, C. W. and Nicholas, B. D., "Volume of Fluid (VOF) Method for the Dynamics of Free Boundaries,"Computational Physics, 39, No. 1,1981, pp. 201-225.
- Kelecy, F.J. and Pletcher, R.H., "The Development of a Free Surface Capturing Approach for Multidimensional Free Surface Flows in Closed Containers,"Computational Physics, 138, No. 2, 1997, pp. 939-980.
- Saintout, E., Ribereau, D. and Perrin, P., "ELEA: A Tool for 3D Surface Regression Analysis in Propellant Grains,"25th AIAA, ASME, SAE, and ASEE, Joint Propulsion Conference, Monterey, 1989.
- Hejl, R. J. and Heister, S. D., "Solid Rocket Motor Grain Burnback Analysis Using Adaptive Grids,"30th AIAA, ASME, SAE, and ASEE, Joint Propulsion Conference and Exhibit, Indianapolis, 1994.
- Willcox, M. A., Brewster, M. Q., Tang, K. C., and Stewart, D. S., "Solid Propellant Grain Design and Burnback Simulation Using a Minimum Distance Function,"AIAA-2005-4350, 41th AIAA/ASME/ SAE/ASEE Joint Propulsion Conference, Arizona, 2005.
- Favivi, B., Cavallini, E., Di Giacinto, M., and Serraglia, F., "An Ignition-to-Burn Out Analysis of SRM Internal Ballistic and Performances," AIAA-200805141,44th AIAA/ASME/SAE/ASEE Joint Propulsion Conference, Hartford, CT, 2008.
- Cavallini, E., Modeling and Numerical Simulation of Solid Rocket Motors Internal Ballistics, (PhD Thesis), of Mechanical and Aeronautical Engineering, Sapienza University, Italy, 2009.
- Ghassemi, H. and Barkordar, A., "Numerical Simulation of Burn-Back in 3D Complicated Grains,"Journal of Space Science & Technology, Vol. 5, No.1, 2012, pp. 15-28 (In Persian).
- Moshir Estekhareh, S. G., Mostofizadeh, A. and Foladi, N., "3D Numerical Simulation of the Grain Burn-Back in Solid Propellant Rocket MotorBased on Level Set Method,"Journal of Energetic Material, Vol. 7, No.16, 2012, pp. 29-39 (In Persian).
- Gheisari, M. M. and Mirsajedi, S. M.,"Numerical Analysis of the Grain Burn-Back in Solid Propellant Motors Based on Improved Level Set Method,"Journal of Energetic Material, Vol. 8, No.19, 2013, pp. 57-68 (In Persian).
- Sethian, J.A., Level Set Methods and Fast Marching Methods, 2ndEdition, Cambridge University Press, Berkeley, 1999.
- Osher, S. and Sethian, J. A., "Fronts Propagating with Curvature Dependent Speed: Algorithms Based on Hamilton-Jacobi Formulations,"Computational Physics, 79, No. 1, 1988, pp. 12-49.
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